1.

Distance of the centre of mass of a solid uniform cone from its vertex is z_(0). If the radius of its base is Rand its height is h, the z_(0) is equal to :

Answer»

`(3H)/(4)`
`(5h)/(8)`
`(3h^(2))/(8R)`
`(h^(2))/(4R)`

Solution :`dm=PIR^(2).dy.rho`
`y_(CM)=(intydm)/(intdm)`
`=(int_(0)^(h)pir^(2)dyxxrhoxxy)/((1)/(3)piR^(2)hrho)`
`=(3h)/(4)`


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